Question

sandy planted a tree and wanted to record its growth. the graph shows growth of the tree over time. the equation for the tree’s growth is $y = \frac{1}{2}x + 20$. select the meaning of the slope and $y$-intercept from the drop - down menus. in the scenario, the slope represents drop - down list: the time taken for the tree to grow, the growth rate of the tree per year, the growth of the tree, the tree’s initial height in the scenario, the $y$-intercept represents drop - down list: the time taken for the tree to grow, the growth rate of the tree per year, the growth of the tree, the tree’s initial height

Explanation:

The equation $y=\frac{1}{2}x + 20$ follows the slope-intercept form $y=mx+b$, where $m$ is the slope (rate of change) and $b$ is the y-intercept (value of $y$ when $x=0$, i.e., initial value). Here, $x$ is time in years and $y$ is tree height in inches. The slope $\frac{1}{2}$ is the annual height change, and the y-intercept 20 is the height at year 0.

Answer:

In the scenario, the slope represents the growth rate of the tree per year
In the scenario, the y-intercept represents the tree's initial height